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We consider a system of Dirac fermions in graphene submitted to a constant perpendicular magnetic field and scattered by a barrier potential. We show that our system can be used to establish a link with quantum optics through the…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Ahmed Jellal , Miloud Mekkaoui , Youness Zahidi

The Goos-Hanchen (GH) effect is an interference effect on total internal reflection at an interface, resulting in a shift sigma of the reflected beam along the interface. We show that the GH effect at a p-n interface in graphene depends on…

Mesoscale and Nanoscale Physics · Physics 2009-04-10 C. W. J. Beenakker , R. A. Sepkhanov , A. R. Akhmerov , J. Tworzydlo

We study the Goos-H\"anchen (GH) shifts for transmitted Dirac fermions in gapped graphene through a single barrier structure having a time periodic oscillating component. Our analysis shows that the GH shifts in transmission for central…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Bouchaib Lemaalem , Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We investigate the Goos-H\"{a}nchen-like shifts for Dirac fermions in transmission through a monolayer graphene barrier. The lateral shifts, as the functions of the barrier's width and the incidence angle, can be negative and positive in…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 Xi Chen , Jia-Wei Tao , Yue Ban

Applying Artmann's formula to the TE-polarized incident waves, we theoretically show that the Goos-H\"{a}nchen (GH) shifts near the angle of the pseudo-Brewster dip of the reflection from a slab of chiral metamaterial can be greatly…

Optics · Physics 2009-06-26 W. T. Dong , Lei Gao , C. W. Qiu

We investigate the behavior of relativistic electrons encountering a potential step through analogies with optical phenomena. By accounting for the conservation of Dirac current, we elucidate that the Goos-H\"anchen shift can be understood…

Quantum Physics · Physics 2023-10-31 Yue Ban , Xi Chen

We study Dirac fermions in gapped graphene that are subjected to a magnetic field and a potential barrier harmonically oscillating in time. The tunneling modes inside the gap and the associated Goos-H\"anchen (GH) shifts are analytically…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

An exact analogy between wave mechanics in quantum theory and the scalar wave treatment of optics emerges from the marriage of Newtonian formulation of geometrical optics [1] and the ``formal quantum theory of light rays'' [2]. Here the…

General Physics · Physics 2025-09-26 Sayanho Biswas , Kolahal Bhattacharya

We investigate the Goos-H\"{a}nchen (GH) shifts of partially coherent fields (PCFs) by using the theory of coherence. We derive a formal expression for the GH shifts of PCFs in terms of Mercer's expansion, and then clearly demonstrate the…

Optics · Physics 2014-07-28 Li-Gang Wang , Shi-Yao Zhu , M. Suhail Zubairy

We theoretically investigate the control of the Goos-H\"anchen shift (GHS) of a reflected weak probe field in both parity-time ($\mathcal{PT}$)-symmetric and conventional optomechanical systems. The proposed scheme consists of a single…

Optics · Physics 2026-04-03 Shah Fahad , Gao Xianlong

We study the classical optics effects known as Goos-H\"anchen (GH) and Imbert-Fedorov (IF) shifts, occurring when reflecting a bounded light beam from a planar surface, by using a quantum-mechanical formalism. This new approach allows us to…

Optics · Physics 2013-12-16 Falk Töppel , Marco Ornigotti , Andrea Aiello

In a comment, Wang, Zhu and Zubairy repeat their previous claim that the spatial Goos-H\"anchen (GH) shift happening at total internal reflection at a dielectric-air interface depends on the spatial coherence of the incident beam. This…

Optics · Physics 2014-03-11 W. Löffler , Andrea Aiello , J. P. Woerdman

Motivated by the realization of the Dirac point (DP) with a double-cone structure for optical field in the negative-zero-positive index metamaterial (NZPIM), the reflection, transmission, and Goos-H\"{a}nchen (GH) shifts inside the NZPIM…

Optics · Physics 2009-10-28 Xi Chen , Li-Gang Wang , Chun-Fang Li

We study the Goos-H\"anchen shifts for Dirac fermions in graphene scattered by a triangular double barrier potential. The massless Dirac-like equation was used to describe the scattered fermions by such potential configuration. Our results…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Miloud Mekkaoui , Ahmed Jellal , Hocine Bahlouli

We have investigated that the Goos-H\"anchen (GH) shifts in frustrated total internal reflection (FTIR) studied with wave packet propagation. In the first-order approximation of the transmission coefficient, the GH shift is exactly the…

Optics · Physics 2009-08-26 Xi Chen , Chun-Fang Li , Rong-Rong Wei , Yan Zhang

Goos-H$\ddot{a}$nchen shift of normally incident optical beam to meta-grating consisted of magneto-optical material are studied. The meta-grating is consisted of compound grating of magneto-optical rod on top of a dielectric slab, which…

Optics · Physics 2025-09-15 Ma Luo

We report the first observation of the Goos-H$\rm \ddot{\textbf{a}}$nchen shift of a light beam incident on a metal surface. This phenomenon is particularly interesting because the Goos-H$\rm \ddot{\textbf{a}}$nchen shift for $p$ polarized…

The analogies between optical and electronic Goos-H\"{a}nchen effects are established based on electron wave optics in semiconductor or graphene-based nanostructures. In this paper, we give a brief overview of the progress achieved so far…

Optics · Physics 2013-09-10 Xi Chen , Xiao-Jing Lu , Yue Ban , Chun-Fang Li

By considering an optically denser medium with a flat surface, but with natural roughness instead of abstract geometrical boundary which leads to mathematical discontinuity on the boundary of two adjacent stratified media, we have thus…

Optics · Physics 2016-09-30 Z. Tahmasebi , M. Amiri

Using the energy spectrum of graphene with spatially modulated potential, we study the Goos-H\"anshen shifts near extra Dirac points located at finite energy $\varepsilon=m\pi$, with $m$ integer. On both sides of such points, we show that…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Abdellatif Kamal , Ahmed Jellal
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